Home / 2,083.56-3,141-1,942.62

Finding the Fourth Proportional to 2,083.56, 3,141 and 1,942.62

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Solution

The fourth proportional to 2,083.56, 3,141 and 1,942.62 is: 2,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.56 : 3,141 = 1,942.62 : x
  2. Step 2: Convert to fraction form
    2,083.56/3,141 = 1,942.62/x
  3. Step 3: Cross multiply
    2,083.56x = 3,141 × 1,942.62
  4. Step 4: Simplify right side
    2,083.56x = 6,101,769.42
  5. Step 5: Solve for x
    x = 6,101,769.42/2,083.56
  6. Step 6: Final answer
    x = 2,928.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.